House Price Prediction with Bayesian Model Averaging
Bivariate Analysis
Continuous Variables
Target Correlation Analysis
| y | x | r | aR2.x | aR2.y | best | worst | bestR2 | info |
|---|---|---|---|---|---|---|---|---|
| Neighborhood | MS.Zoning | 0.8157 | 0.1092 | 0.5821 | Neighborhood | MS.Zoning | 0.5821 | -0.2337 |
| TotRms.AbvGrd.log | area.log | 0.7932 | 0.5569 | 0.2988 | area.log | TotRms.AbvGrd.log | 0.5569 | -0.2363 |
| Exter.Qual | Overall.Qual | 0.7048 | 0.6730 | 0.4410 | Overall.Qual | Exter.Qual | 0.6730 | -0.0318 |
| area.log | Full.Bath | 0.6653 | 0.3479 | 0.5569 | area.log | Full.Bath | 0.5569 | -0.1084 |
| age.log | Overall.Qual | -0.6546 | 0.6730 | 0.4233 | Overall.Qual | age.log | 0.6730 | 0.0184 |
| Foundation | Neighborhood | 0.6502 | 0.5821 | 0.3063 | Neighborhood | Foundation | 0.5821 | -0.0681 |
| Kitchen.Qual | Overall.Qual | 0.6433 | 0.6730 | 0.4439 | Overall.Qual | Kitchen.Qual | 0.6730 | 0.0297 |
| age.garage.log | Overall.Qual | -0.6222 | 0.6730 | 0.3903 | Overall.Qual | age.garage.log | 0.6730 | 0.0509 |
| Bldg.Type | Neighborhood | 0.6201 | 0.5821 | 0.0072 | Neighborhood | Bldg.Type | 0.5821 | -0.0380 |
| Bsmt.Qual | Overall.Qual | 0.6067 | 0.6730 | 0.3852 | Overall.Qual | Bsmt.Qual | 0.6730 | 0.0663 |
| area.log | Overall.Qual | 0.5931 | 0.6730 | 0.5569 | Overall.Qual | area.log | 0.6730 | 0.0799 |
| area.log | Bedroom.AbvGr | 0.5838 | 0.0729 | 0.5569 | area.log | Bedroom.AbvGr | 0.5569 | -0.0269 |
| Garage.Cars | Overall.Qual | 0.5790 | 0.6730 | 0.4653 | Overall.Qual | Garage.Cars | 0.6730 | 0.0940 |
| X2nd.Flr.SF.log | area.log | 0.5547 | 0.5569 | 0.0301 | area.log | X2nd.Flr.SF.log | 0.5569 | 0.0022 |
| age.remod.log | Overall.Qual | -0.5394 | 0.6730 | 0.3379 | Overall.Qual | age.remod.log | 0.6730 | 0.1336 |
| Full.Bath | Overall.Qual | 0.5348 | 0.6730 | 0.3479 | Overall.Qual | Full.Bath | 0.6730 | 0.1382 |
| X1st.Flr.SF.log | area.log | 0.5288 | 0.5569 | 0.4203 | area.log | X1st.Flr.SF.log | 0.5569 | 0.0281 |
| area.log | Fireplace.Qu | 0.5285 | 0.3228 | 0.5569 | area.log | Fireplace.Qu | 0.5569 | 0.0284 |
| area.log | Garage.Cars | 0.5190 | 0.4653 | 0.5569 | area.log | Garage.Cars | 0.5569 | 0.0379 |
| area.log | Fireplaces | 0.5024 | 0.2820 | 0.5569 | area.log | Fireplaces | 0.5569 | 0.0545 |
Predictor Regression Summary
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Overall.Qual | 0.673 | 0.673 | 0.218 | 1715.562 | 0.000 | 2 | 86.578 | -167.155 | -152.977 | 39.676 | 832 |
| area.log | 0.557 | 0.557 | 0.254 | 1047.935 | 0.000 | 2 | -40.148 | 86.297 | 100.476 | 53.766 | 832 |
| Garage.Cars | 0.466 | 0.465 | 0.279 | 725.801 | 0.000 | 2 | -118.529 | 243.057 | 257.236 | 64.884 | 832 |
| Kitchen.Qual | 0.445 | 0.444 | 0.285 | 665.940 | 0.000 | 2 | -134.869 | 275.737 | 289.916 | 67.477 | 832 |
| Exter.Qual | 0.442 | 0.441 | 0.286 | 658.145 | 0.000 | 2 | -137.044 | 280.088 | 294.267 | 67.830 | 832 |
| age.log | 0.424 | 0.423 | 0.290 | 612.343 | 0.000 | 2 | -150.063 | 306.125 | 320.304 | 69.981 | 832 |
| X1st.Flr.SF.log | 0.421 | 0.420 | 0.291 | 605.003 | 0.000 | 2 | -152.187 | 310.374 | 324.552 | 70.338 | 832 |
| age.garage.log | 0.391 | 0.390 | 0.298 | 534.305 | 0.000 | 2 | -173.225 | 352.449 | 366.628 | 73.978 | 832 |
| Bsmt.Qual | 0.386 | 0.385 | 0.299 | 523.005 | 0.000 | 2 | -176.688 | 359.375 | 373.554 | 74.595 | 832 |
| Full.Bath | 0.349 | 0.348 | 0.308 | 445.377 | 0.000 | 2 | -201.289 | 408.578 | 422.757 | 79.128 | 832 |
| age.remod.log | 0.339 | 0.338 | 0.311 | 426.025 | 0.000 | 2 | -207.655 | 421.310 | 435.489 | 80.345 | 832 |
| Fireplace.Qu | 0.324 | 0.323 | 0.314 | 397.989 | 0.000 | 2 | -217.053 | 440.106 | 454.285 | 82.176 | 832 |
| TotRms.AbvGrd.log | 0.300 | 0.299 | 0.320 | 356.030 | 0.000 | 2 | -231.527 | 469.054 | 483.232 | 85.079 | 832 |
| Fireplaces | 0.283 | 0.282 | 0.324 | 328.169 | 0.000 | 2 | -241.422 | 488.845 | 503.023 | 87.122 | 832 |
| Heating.QC | 0.242 | 0.241 | 0.333 | 265.946 | 0.000 | 2 | -264.409 | 534.819 | 548.997 | 92.059 | 832 |
| Open.Porch.SF.log | 0.221 | 0.221 | 0.337 | 236.700 | 0.000 | 2 | -275.668 | 557.335 | 571.514 | 94.578 | 832 |
| Garage.Area.log | 0.205 | 0.204 | 0.341 | 213.916 | 0.000 | 2 | -284.654 | 575.308 | 589.487 | 96.639 | 832 |
| Mas.Vnr.Area.log | 0.178 | 0.177 | 0.346 | 180.681 | 0.000 | 2 | -298.120 | 602.239 | 616.418 | 99.810 | 832 |
| Wood.Deck.SF.log | 0.175 | 0.174 | 0.347 | 176.059 | 0.000 | 2 | -300.027 | 606.055 | 620.233 | 100.268 | 832 |
| BsmtFin.Type.1 | 0.174 | 0.173 | 0.347 | 175.840 | 0.000 | 2 | -300.118 | 606.235 | 620.414 | 100.290 | 832 |
| Lot.Area.log | 0.157 | 0.156 | 0.351 | 154.390 | 0.000 | 2 | -309.089 | 624.178 | 638.356 | 102.471 | 832 |
| Total.Bsmt.SF.log | 0.156 | 0.155 | 0.351 | 154.036 | 0.000 | 2 | -309.238 | 624.476 | 638.655 | 102.507 | 832 |
| Lot.Frontage | 0.150 | 0.149 | 0.363 | 119.383 | 0.000 | 2 | -273.185 | 552.369 | 565.927 | 88.866 | 676 |
| Bsmt.Exposure | 0.142 | 0.141 | 0.354 | 137.608 | 0.000 | 2 | -316.244 | 638.488 | 652.667 | 104.244 | 832 |
| Paved.Drive | 0.141 | 0.140 | 0.354 | 136.443 | 0.000 | 2 | -316.746 | 639.491 | 653.670 | 104.370 | 832 |
| Garage.Cond | 0.125 | 0.123 | 0.358 | 118.336 | 0.000 | 2 | -324.616 | 655.233 | 669.411 | 106.358 | 832 |
| Garage.Qual | 0.119 | 0.118 | 0.359 | 112.394 | 0.000 | 2 | -327.232 | 660.464 | 674.643 | 107.027 | 832 |
| Bsmt.Full.Bath | 0.106 | 0.105 | 0.361 | 99.048 | 0.000 | 2 | -333.167 | 672.333 | 686.512 | 108.562 | 832 |
| Half.Bath | 0.104 | 0.103 | 0.362 | 96.471 | 0.000 | 2 | -334.323 | 674.645 | 688.824 | 108.863 | 832 |
| Lot.Shape | 0.089 | 0.088 | 0.365 | 81.355 | 0.000 | 2 | -341.167 | 688.334 | 702.513 | 110.664 | 832 |
| Garage.Finish | 0.082 | 0.081 | 0.366 | 74.016 | 0.000 | 2 | -344.531 | 695.063 | 709.241 | 111.561 | 832 |
| Electrical | 0.075 | 0.074 | 0.367 | 67.648 | 0.000 | 2 | -347.473 | 700.945 | 715.124 | 112.351 | 832 |
| Bedroom.AbvGr | 0.074 | 0.073 | 0.368 | 66.509 | 0.000 | 2 | -348.001 | 702.002 | 716.180 | 112.493 | 832 |
| Lot.Area | 0.064 | 0.063 | 0.370 | 56.772 | 0.000 | 2 | -352.545 | 711.089 | 725.268 | 113.725 | 832 |
| Enclosed.Porch.log | 0.058 | 0.057 | 0.371 | 51.191 | 0.000 | 2 | -355.172 | 716.344 | 730.522 | 114.444 | 832 |
| Bsmt.Cond | 0.055 | 0.054 | 0.371 | 48.784 | 0.000 | 2 | -356.310 | 718.619 | 732.798 | 114.757 | 832 |
| Bsmt.Unf.SF.sqrt | 0.038 | 0.037 | 0.375 | 33.255 | 0.000 | 2 | -363.727 | 733.455 | 747.633 | 116.816 | 832 |
| X2nd.Flr.SF.log | 0.031 | 0.030 | 0.376 | 26.838 | 0.000 | 2 | -366.831 | 739.662 | 753.841 | 117.689 | 832 |
| Fence | 0.014 | 0.013 | 0.379 | 11.969 | 0.001 | 2 | -374.114 | 754.228 | 768.406 | 119.763 | 832 |
| Land.Slope | 0.013 | 0.012 | 0.380 | 11.310 | 0.001 | 2 | -374.440 | 754.880 | 769.058 | 119.856 | 832 |
| Functional | 0.012 | 0.011 | 0.380 | 9.928 | 0.002 | 2 | -375.124 | 756.247 | 770.426 | 120.053 | 832 |
| Screen.Porch.log | 0.009 | 0.008 | 0.380 | 7.672 | 0.006 | 2 | -376.243 | 758.485 | 772.664 | 120.376 | 832 |
| Kitchen.AbvGr | 0.008 | 0.007 | 0.381 | 6.933 | 0.009 | 2 | -376.610 | 759.220 | 773.398 | 120.482 | 832 |
| Low.Qual.Fin.SF.log | 0.008 | 0.007 | 0.381 | 6.813 | 0.009 | 2 | -376.669 | 759.339 | 773.517 | 120.499 | 832 |
| Overall.Cond | 0.006 | 0.005 | 0.381 | 4.801 | 0.029 | 2 | -377.671 | 761.342 | 775.520 | 120.789 | 832 |
| Mo.Sold | 0.004 | 0.002 | 0.381 | 2.933 | 0.087 | 2 | -378.603 | 763.206 | 777.384 | 121.059 | 832 |
| Bsmt.Half.Bath | 0.002 | 0.000 | 0.382 | 1.312 | 0.252 | 2 | -379.413 | 764.826 | 779.005 | 121.294 | 832 |
| Exter.Cond | 0.001 | -0.001 | 0.382 | 0.493 | 0.483 | 2 | -379.823 | 765.646 | 779.825 | 121.414 | 832 |
| Misc.Val | 0.000 | -0.001 | 0.382 | 0.249 | 0.618 | 2 | -379.945 | 765.891 | 780.069 | 121.449 | 832 |
| BsmtFin.Type.2 | 0.000 | -0.001 | 0.382 | 0.229 | 0.632 | 2 | -379.955 | 765.911 | 780.089 | 121.452 | 832 |
| BsmtFin.SF.2.log | 0.000 | -0.001 | 0.382 | 0.167 | 0.683 | 2 | -379.986 | 765.973 | 780.151 | 121.461 | 832 |
| X3Ssn.Porch.log | 0.000 | -0.001 | 0.382 | 0.000 | 0.996 | 2 | -380.070 | 766.140 | 780.319 | 121.486 | 832 |
| Utilities | 0.000 | 0.000 | 0.382 | NA | NA | 1 | -380.070 | 764.140 | 773.593 | 121.486 | 833 |
Predictor Regression Analysis
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.546 | 0.042 | 275.528 | 0 |
| Lot.Frontage | 0.006 | 0.001 | 10.926 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Lot.Frontage | 0.15 | 0.149 | 0.363 | 119.383 | 0 | 2 | -273.185 | 552.369 | 565.927 | 88.866 | 676 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.901 | 0.018 | 661.112 | 0 |
| Lot.Area | 0.000 | 0.000 | 7.535 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Lot.Area | 0.064 | 0.063 | 0.37 | 56.772 | 0 | 2 | -352.545 | 711.089 | 725.268 | 113.725 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 12.727 | 0.082 | 155.179 | 0 |
| Lot.Shape | -0.203 | 0.023 | -9.020 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Lot.Shape | 0.089 | 0.088 | 0.365 | 81.355 | 0 | 2 | -341.167 | 688.334 | 702.513 | 110.664 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.996 | 0.013 | 907.139 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Utilities | 0 | 0 | 0.382 | NA | NA | 1 | -380.07 | 764.14 | 773.593 | 121.486 | 833 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 12.582 | 0.175 | 71.928 | 0.000 |
| Land.Slope | -0.198 | 0.059 | -3.363 | 0.001 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Land.Slope | 0.013 | 0.012 | 0.38 | 11.31 | 0.001 | 2 | -374.44 | 754.88 | 769.058 | 119.856 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 10.589 | 0.035 | 304.339 | 0 |
| Overall.Qual | 0.235 | 0.006 | 41.419 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Overall.Qual | 0.673 | 0.673 | 0.218 | 1715.562 | 0 | 2 | 86.578 | -167.155 | -152.977 | 39.676 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 12.144 | 0.069 | 176.611 | 0.000 |
| Overall.Cond | -0.026 | 0.012 | -2.191 | 0.029 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Overall.Cond | 0.006 | 0.005 | 0.381 | 4.801 | 0.029 | 2 | -377.671 | 761.342 | 775.52 | 120.789 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 10.433 | 0.062 | 169.013 | 0 |
| Exter.Qual | 0.466 | 0.018 | 25.654 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Exter.Qual | 0.442 | 0.441 | 0.286 | 658.145 | 0 | 2 | -137.044 | 280.088 | 294.267 | 67.83 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 12.071 | 0.108 | 112.221 | 0.000 |
| Exter.Cond | -0.024 | 0.034 | -0.702 | 0.483 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Exter.Cond | 0.001 | -0.001 | 0.382 | 0.493 | 0.483 | 2 | -379.823 | 765.646 | 779.825 | 121.414 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.033 | 0.043 | 254.460 | 0 |
| Bsmt.Qual | 0.280 | 0.012 | 22.869 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Bsmt.Qual | 0.386 | 0.385 | 0.299 | 523.005 | 0 | 2 | -176.688 | 359.375 | 373.554 | 74.595 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.500 | 0.072 | 159.494 | 0 |
| Bsmt.Cond | 0.168 | 0.024 | 6.985 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Bsmt.Cond | 0.055 | 0.054 | 0.371 | 48.784 | 0 | 2 | -356.31 | 718.619 | 732.798 | 114.757 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.774 | 0.023 | 522.615 | 0 |
| Bsmt.Exposure | 0.135 | 0.012 | 11.731 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Bsmt.Exposure | 0.142 | 0.141 | 0.354 | 137.608 | 0 | 2 | -316.244 | 638.488 | 652.667 | 104.244 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.713 | 0.024 | 478.878 | 0 |
| BsmtFin.Type.1 | 0.078 | 0.006 | 13.260 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | BsmtFin.Type.1 | 0.174 | 0.173 | 0.347 | 175.84 | 0 | 2 | -300.118 | 606.235 | 620.414 | 100.29 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.988 | 0.022 | 550.039 | 0.000 |
| BsmtFin.Type.2 | 0.006 | 0.013 | 0.479 | 0.632 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | BsmtFin.Type.2 | 0 | -0.001 | 0.382 | 0.229 | 0.632 | 2 | -379.955 | 765.911 | 780.089 | 121.452 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.172 | 0.052 | 215.575 | 0 |
| Heating.QC | 0.200 | 0.012 | 16.308 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Heating.QC | 0.242 | 0.241 | 0.333 | 265.946 | 0 | 2 | -264.409 | 534.819 | 548.997 | 92.059 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 10.536 | 0.178 | 59.222 | 0 |
| Electrical | 0.297 | 0.036 | 8.225 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Electrical | 0.075 | 0.074 | 0.367 | 67.648 | 0 | 2 | -347.473 | 700.945 | 715.124 | 112.351 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.891 | 0.016 | 727.927 | 0 |
| Bsmt.Full.Bath | 0.240 | 0.024 | 9.952 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Bsmt.Full.Bath | 0.106 | 0.105 | 0.361 | 99.048 | 0 | 2 | -333.167 | 672.333 | 686.512 | 108.562 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 12.000 | 0.014 | 880.488 | 0.000 |
| Bsmt.Half.Bath | -0.062 | 0.054 | -1.145 | 0.252 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Bsmt.Half.Bath | 0.002 | 0 | 0.382 | 1.312 | 0.252 | 2 | -379.413 | 764.826 | 779.005 | 121.294 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.367 | 0.032 | 359.062 | 0 |
| Full.Bath | 0.418 | 0.020 | 21.104 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Full.Bath | 0.349 | 0.348 | 0.308 | 445.377 | 0 | 2 | -201.289 | 408.578 | 422.757 | 79.128 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.902 | 0.016 | 756.582 | 0 |
| Half.Bath | 0.248 | 0.025 | 9.822 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Half.Bath | 0.104 | 0.103 | 0.362 | 96.471 | 0 | 2 | -334.323 | 674.645 | 688.824 | 108.863 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.635 | 0.046 | 252.857 | 0 |
| Bedroom.AbvGr | 0.128 | 0.016 | 8.155 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Bedroom.AbvGr | 0.074 | 0.073 | 0.368 | 66.509 | 0 | 2 | -348.001 | 702.002 | 716.18 | 112.493 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 12.183 | 0.072 | 168.186 | 0.000 |
| Kitchen.AbvGr | -0.181 | 0.069 | -2.633 | 0.009 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Kitchen.AbvGr | 0.008 | 0.007 | 0.381 | 6.933 | 0.009 | 2 | -376.61 | 759.22 | 773.398 | 120.482 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 10.601 | 0.055 | 192.993 | 0 |
| Kitchen.Qual | 0.402 | 0.016 | 25.806 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Kitchen.Qual | 0.445 | 0.444 | 0.285 | 665.94 | 0 | 2 | -134.869 | 275.737 | 289.916 | 67.477 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.471 | 0.167 | 68.716 | 0.000 |
| Functional | 0.067 | 0.021 | 3.151 | 0.002 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Functional | 0.012 | 0.011 | 0.38 | 9.928 | 0.002 | 2 | -375.124 | 756.247 | 770.426 | 120.053 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.813 | 0.015 | 782.690 | 0 |
| Fireplaces | 0.309 | 0.017 | 18.115 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Fireplaces | 0.283 | 0.282 | 0.324 | 328.169 | 0 | 2 | -241.422 | 488.845 | 503.023 | 87.122 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.789 | 0.015 | 783.796 | 0 |
| Fireplace.Qu | 0.124 | 0.006 | 19.950 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Fireplace.Qu | 0.324 | 0.323 | 0.314 | 397.989 | 0 | 2 | -217.053 | 440.106 | 454.285 | 82.176 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.884 | 0.018 | 653.179 | 0 |
| Garage.Finish | 0.100 | 0.012 | 8.603 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Garage.Finish | 0.082 | 0.081 | 0.366 | 74.016 | 0 | 2 | -344.531 | 695.063 | 709.241 | 111.561 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.389 | 0.025 | 464.439 | 0 |
| Garage.Cars | 0.352 | 0.013 | 26.941 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Garage.Cars | 0.466 | 0.465 | 0.279 | 725.801 | 0 | 2 | -118.529 | 243.057 | 257.236 | 64.884 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.423 | 0.055 | 206.071 | 0 |
| Garage.Qual | 0.202 | 0.019 | 10.602 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Garage.Qual | 0.119 | 0.118 | 0.359 | 112.394 | 0 | 2 | -327.232 | 660.464 | 674.643 | 107.027 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.406 | 0.056 | 205.085 | 0 |
| Garage.Cond | 0.207 | 0.019 | 10.878 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Garage.Cond | 0.125 | 0.123 | 0.358 | 118.336 | 0 | 2 | -324.616 | 655.233 | 669.411 | 106.358 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.250 | 0.065 | 173.141 | 0 |
| Paved.Drive | 0.264 | 0.023 | 11.681 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Paved.Drive | 0.141 | 0.14 | 0.354 | 136.443 | 0 | 2 | -316.746 | 639.491 | 653.67 | 104.37 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 12.019 | 0.015 | 815.935 | 0.000 |
| Fence | -0.036 | 0.010 | -3.460 | 0.001 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Fence | 0.014 | 0.013 | 0.379 | 11.969 | 0.001 | 2 | -374.114 | 754.228 | 768.406 | 119.763 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.996 | 0.013 | 903.364 | 0.000 |
| Misc.Val | 0.000 | 0.000 | -0.499 | 0.618 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Misc.Val | 0 | -0.001 | 0.382 | 0.249 | 0.618 | 2 | -379.945 | 765.891 | 780.069 | 121.449 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.943 | 0.033 | 357.842 | 0.000 |
| Mo.Sold | 0.009 | 0.005 | 1.713 | 0.087 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Mo.Sold | 0.004 | 0.002 | 0.381 | 2.933 | 0.087 | 2 | -378.603 | 763.206 | 777.384 | 121.059 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 13.366 | 0.056 | 237.476 | 0 |
| age.log | -0.371 | 0.015 | -24.746 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | age.log | 0.424 | 0.423 | 0.29 | 612.343 | 0 | 2 | -150.063 | 306.125 | 320.304 | 69.981 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 13.356 | 0.060 | 223.552 | 0 |
| age.garage.log | -0.377 | 0.016 | -23.115 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | age.garage.log | 0.391 | 0.39 | 0.298 | 534.305 | 0 | 2 | -173.225 | 352.449 | 366.628 | 73.978 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 12.382 | 0.022 | 574.154 | 0 |
| age.remod.log | -0.011 | 0.001 | -20.640 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | age.remod.log | 0.339 | 0.338 | 0.311 | 426.025 | 0 | 2 | -207.655 | 421.31 | 435.489 | 80.345 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.155 | 0.027 | 406.557 | 0 |
| area.log | 0.001 | 0.000 | 32.372 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | area.log | 0.557 | 0.557 | 0.254 | 1047.935 | 0 | 2 | -40.148 | 86.297 | 100.476 | 53.766 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.998 | 0.014 | 850.231 | 0.000 |
| BsmtFin.SF.2.log | -0.003 | 0.007 | -0.409 | 0.683 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | BsmtFin.SF.2.log | 0 | -0.001 | 0.382 | 0.167 | 0.683 | 2 | -379.986 | 765.973 | 780.151 | 121.461 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 12.037 | 0.014 | 854.522 | 0 |
| Enclosed.Porch.log | -0.050 | 0.007 | -7.155 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Enclosed.Porch.log | 0.058 | 0.057 | 0.371 | 51.191 | 0 | 2 | -355.172 | 716.344 | 730.522 | 114.444 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.209 | 0.055 | 203.433 | 0 |
| Garage.Area.log | 0.135 | 0.009 | 14.626 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Garage.Area.log | 0.205 | 0.204 | 0.341 | 213.916 | 0 | 2 | -284.654 | 575.308 | 589.487 | 96.639 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 9.413 | 0.208 | 45.208 | 0 |
| Lot.Area.log | 0.285 | 0.023 | 12.425 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Lot.Area.log | 0.157 | 0.156 | 0.351 | 154.39 | 0 | 2 | -309.089 | 624.178 | 638.356 | 102.471 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 12.000 | 0.013 | 905.201 | 0.000 |
| Low.Qual.Fin.SF.log | -0.055 | 0.021 | -2.610 | 0.009 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Low.Qual.Fin.SF.log | 0.008 | 0.007 | 0.381 | 6.813 | 0.009 | 2 | -376.669 | 759.339 | 773.517 | 120.499 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.873 | 0.015 | 786.366 | 0 |
| Mas.Vnr.Area.log | 0.062 | 0.005 | 13.442 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Mas.Vnr.Area.log | 0.178 | 0.177 | 0.346 | 180.681 | 0 | 2 | -298.12 | 602.239 | 616.418 | 99.81 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.803 | 0.017 | 688.503 | 0 |
| Open.Porch.SF.log | 0.084 | 0.005 | 15.385 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Open.Porch.SF.log | 0.221 | 0.221 | 0.337 | 236.7 | 0 | 2 | -275.668 | 557.335 | 571.514 | 94.578 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.985 | 0.014 | 873.372 | 0.000 |
| Screen.Porch.log | 0.026 | 0.009 | 2.770 | 0.006 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Screen.Porch.log | 0.009 | 0.008 | 0.38 | 7.672 | 0.006 | 2 | -376.243 | 758.485 | 772.664 | 120.376 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.086 | 0.074 | 149.224 | 0 |
| Total.Bsmt.SF.log | 0.135 | 0.011 | 12.411 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Total.Bsmt.SF.log | 0.156 | 0.155 | 0.351 | 154.036 | 0 | 2 | -309.238 | 624.476 | 638.655 | 102.507 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 10.028 | 0.105 | 95.588 | 0 |
| TotRms.AbvGrd.log | 1.003 | 0.053 | 18.869 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | TotRms.AbvGrd.log | 0.3 | 0.299 | 0.32 | 356.03 | 0 | 2 | -231.527 | 469.054 | 483.232 | 85.079 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.847 | 0.016 | 719.490 | 0 |
| Wood.Deck.SF.log | 0.062 | 0.005 | 13.269 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Wood.Deck.SF.log | 0.175 | 0.174 | 0.347 | 176.059 | 0 | 2 | -300.027 | 606.055 | 620.233 | 100.268 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 6.492 | 0.224 | 28.987 | 0 |
| X1st.Flr.SF.log | 0.789 | 0.032 | 24.597 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | X1st.Flr.SF.log | 0.421 | 0.42 | 0.291 | 605.003 | 0 | 2 | -152.187 | 310.374 | 324.552 | 70.338 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.940 | 0.017 | 707.726 | 0 |
| X2nd.Flr.SF.log | 0.021 | 0.004 | 5.181 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | X2nd.Flr.SF.log | 0.031 | 0.03 | 0.376 | 26.838 | 0 | 2 | -366.831 | 739.662 | 753.841 | 117.689 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.996 | 0.013 | 900.100 | 0.000 |
| X3Ssn.Porch.log | 0.000 | 0.021 | -0.006 | 0.996 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | X3Ssn.Porch.log | 0 | -0.001 | 0.382 | 0 | 0.996 | 2 | -380.07 | 766.14 | 780.319 | 121.486 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.839 | 0.030 | 392.449 | 0 |
| Bsmt.Unf.SF.sqrt | 0.008 | 0.001 | 5.767 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Bsmt.Unf.SF.sqrt | 0.038 | 0.037 | 0.375 | 33.255 | 0 | 2 | -363.727 | 733.455 | 747.633 | 116.816 | 832 |
Predictor Correlation Analysis
| Label.1 | Variable.1 | Label.2 | Variable.2 | r |
|---|---|---|---|---|
| f29 | Garage.Qual | f30 | Garage.Cond | 0.9420 |
| f35 | age.log | f36 | age.garage.log | 0.9245 |
| f29 | Garage.Qual | f41 | Garage.Area.log | 0.9051 |
| f30 | Garage.Cond | f41 | Garage.Area.log | 0.9034 |
| f14 | BsmtFin.Type.2 | f39 | BsmtFin.SF.2.log | 0.8884 |
| f25 | Fireplaces | f26 | Fireplace.Qu | 0.8558 |
| f11 | Bsmt.Cond | f47 | Total.Bsmt.SF.log | 0.8257 |
| f38 | area.log | f48 | TotRms.AbvGrd.log | 0.7932 |
| f6 | Overall.Qual | f8 | Exter.Qual | 0.7048 |
| f10 | Bsmt.Qual | f47 | Total.Bsmt.SF.log | 0.7017 |
| f8 | Exter.Qual | f23 | Kitchen.Qual | 0.7009 |
| f21 | Bedroom.AbvGr | f48 | TotRms.AbvGrd.log | 0.7008 |
| f28 | Garage.Cars | f41 | Garage.Area.log | 0.6891 |
| f2 | Lot.Area | f42 | Lot.Area.log | 0.6674 |
| f19 | Full.Bath | f38 | area.log | 0.6653 |
| f35 | age.log | f37 | age.remod.log | 0.6622 |
| f36 | age.garage.log | f37 | age.remod.log | 0.6435 |
| f6 | Overall.Qual | f23 | Kitchen.Qual | 0.6433 |
| f6 | Overall.Qual | f10 | Bsmt.Qual | 0.6067 |
| f6 | Overall.Qual | f38 | area.log | 0.5931 |
| f10 | Bsmt.Qual | f11 | Bsmt.Cond | 0.5866 |
| f20 | Half.Bath | f51 | X2nd.Flr.SF.log | 0.5839 |
| f21 | Bedroom.AbvGr | f38 | area.log | 0.5838 |
| f6 | Overall.Qual | f28 | Garage.Cars | 0.5790 |
| f13 | BsmtFin.Type.1 | f17 | Bsmt.Full.Bath | 0.5584 |
| f38 | area.log | f51 | X2nd.Flr.SF.log | 0.5547 |
| f19 | Full.Bath | f48 | TotRms.AbvGrd.log | 0.5412 |
| f6 | Overall.Qual | f19 | Full.Bath | 0.5348 |
| f38 | area.log | f50 | X1st.Flr.SF.log | 0.5288 |
| f26 | Fireplace.Qu | f38 | area.log | 0.5285 |
| f28 | Garage.Cars | f38 | area.log | 0.5190 |
| f8 | Exter.Qual | f10 | Bsmt.Qual | 0.5133 |
| f25 | Fireplaces | f38 | area.log | 0.5024 |
Categorical Variables
Predictor Regression Summary
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Neighborhood | 0.594 | 0.582 | 0.247 | 51.442 | 0.000 | 24 | -4.582 | 59.164 | 177.320 | 49.370 | 810 |
| MS.SubClass | 0.321 | 0.313 | 0.316 | 43.233 | 0.000 | 10 | -218.792 | 459.584 | 511.573 | 82.520 | 824 |
| Garage.Type | 0.315 | 0.312 | 0.317 | 95.391 | 0.000 | 5 | -222.185 | 456.369 | 484.727 | 83.194 | 829 |
| Foundation | 0.308 | 0.306 | 0.318 | 184.911 | 0.000 | 3 | -226.559 | 461.118 | 480.023 | 84.071 | 831 |
| Exterior.1st | 0.152 | 0.144 | 0.353 | 21.091 | 0.000 | 8 | -311.496 | 640.992 | 683.528 | 103.064 | 826 |
| Mas.Vnr.Type | 0.149 | 0.147 | 0.353 | 72.615 | 0.000 | 3 | -312.904 | 633.809 | 652.714 | 103.413 | 831 |
| Exterior.2nd | 0.147 | 0.141 | 0.354 | 23.757 | 0.000 | 7 | -313.758 | 643.516 | 681.326 | 103.624 | 827 |
| Central.Air | 0.128 | 0.127 | 0.357 | 122.413 | 0.000 | 2 | -322.831 | 651.662 | 665.841 | 105.904 | 832 |
| MS.Zoning | 0.110 | 0.109 | 0.360 | 103.111 | 0.000 | 2 | -331.351 | 668.701 | 682.880 | 108.090 | 832 |
| House.Style | 0.079 | 0.074 | 0.368 | 14.236 | 0.000 | 6 | -345.681 | 705.363 | 738.446 | 111.869 | 828 |
| Roof.Style | 0.031 | 0.030 | 0.376 | 26.720 | 0.000 | 2 | -366.889 | 739.777 | 753.956 | 117.705 | 832 |
| Lot.Config | 0.018 | 0.015 | 0.379 | 5.106 | 0.002 | 4 | -372.445 | 754.890 | 778.521 | 119.284 | 830 |
| Condition.1 | 0.016 | 0.015 | 0.379 | 13.737 | 0.000 | 2 | -373.241 | 752.483 | 766.662 | 119.512 | 832 |
| Bldg.Type | 0.008 | 0.007 | 0.381 | 7.063 | 0.008 | 2 | -376.545 | 759.091 | 773.269 | 120.463 | 832 |
| Land.Contour | 0.007 | 0.006 | 0.381 | 5.664 | 0.018 | 2 | -377.241 | 760.482 | 774.661 | 120.664 | 832 |
| Heating | 0.006 | 0.001 | 0.382 | 1.234 | 0.295 | 5 | -377.595 | 767.189 | 795.546 | 120.766 | 829 |
Predictor Regression Analysis
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 12.022 | 0.018 | 664.562 | 0.000 |
| MS.SubClass30 | -0.580 | 0.052 | -11.245 | 0.000 |
| MS.SubClassOther | -0.210 | 0.046 | -4.560 | 0.000 |
| MS.SubClass50 | -0.220 | 0.039 | -5.600 | 0.000 |
| MS.SubClass60 | 0.288 | 0.031 | 9.286 | 0.000 |
| MS.SubClass70 | -0.141 | 0.061 | -2.334 | 0.020 |
| MS.SubClass80 | -0.034 | 0.056 | -0.602 | 0.547 |
| MS.SubClass90 | -0.178 | 0.065 | -2.757 | 0.006 |
| MS.SubClass120 | 0.149 | 0.046 | 3.219 | 0.001 |
| MS.SubClass160 | -0.262 | 0.052 | -5.028 | 0.000 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | MS.SubClass | 0.321 | 0.313 | 0.316 | 43.233 | 0 | 10 | -218.792 | 459.584 | 511.573 | 82.52 | 824 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.753 | 0.027 | 435.022 | 0 |
| MS.ZoningRL | 0.309 | 0.030 | 10.154 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | MS.Zoning | 0.11 | 0.109 | 0.36 | 103.111 | 0 | 2 | -331.351 | 668.701 | 682.88 | 108.09 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 12.094 | 0.043 | 278.674 | 0.000 |
| Land.ContourLvl | -0.108 | 0.046 | -2.380 | 0.018 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Land.Contour | 0.007 | 0.006 | 0.381 | 5.664 | 0.018 | 2 | -377.241 | 760.482 | 774.661 | 120.664 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.953 | 0.031 | 379.669 | 0.000 |
| Lot.ConfigCulDSac | 0.216 | 0.057 | 3.783 | 0.000 |
| Lot.ConfigFR | 0.045 | 0.071 | 0.634 | 0.526 |
| Lot.ConfigInside | 0.035 | 0.035 | 0.992 | 0.321 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Lot.Config | 0.018 | 0.015 | 0.379 | 5.106 | 0.002 | 4 | -372.445 | 754.89 | 778.521 | 119.284 | 830 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 12.195 | 0.093 | 130.685 | 0.000 |
| NeighborhoodOther | -0.164 | 0.116 | -1.417 | 0.157 |
| NeighborhoodBrDale | -0.684 | 0.132 | -5.181 | 0.000 |
| NeighborhoodBrkSide | -0.522 | 0.102 | -5.114 | 0.000 |
| NeighborhoodClearCr | -0.029 | 0.119 | -0.240 | 0.810 |
| NeighborhoodCollgCr | -0.056 | 0.098 | -0.572 | 0.567 |
| NeighborhoodCrawfor | -0.052 | 0.106 | -0.491 | 0.623 |
| NeighborhoodEdwards | -0.470 | 0.100 | -4.718 | 0.000 |
| NeighborhoodGilbert | -0.044 | 0.102 | -0.430 | 0.667 |
| NeighborhoodIDOTRR | -0.686 | 0.105 | -6.549 | 0.000 |
| NeighborhoodMeadowV | -0.773 | 0.112 | -6.906 | 0.000 |
| NeighborhoodMitchel | -0.185 | 0.101 | -1.833 | 0.067 |
| NeighborhoodNAmes | -0.340 | 0.096 | -3.557 | 0.000 |
| NeighborhoodNoRidge | 0.396 | 0.104 | 3.798 | 0.000 |
| NeighborhoodNridgHt | 0.409 | 0.102 | 4.008 | 0.000 |
| NeighborhoodNWAmes | 0.004 | 0.102 | 0.043 | 0.966 |
| NeighborhoodOldTown | -0.519 | 0.098 | -5.273 | 0.000 |
| NeighborhoodSawyer | -0.367 | 0.099 | -3.707 | 0.000 |
| NeighborhoodSawyerW | -0.125 | 0.101 | -1.238 | 0.216 |
| NeighborhoodSomerst | 0.100 | 0.100 | 1.000 | 0.318 |
| NeighborhoodStoneBr | 0.283 | 0.117 | 2.409 | 0.016 |
| NeighborhoodSWISU | -0.476 | 0.122 | -3.909 | 0.000 |
| NeighborhoodTimber | 0.247 | 0.111 | 2.229 | 0.026 |
| NeighborhoodVeenker | 0.173 | 0.124 | 1.390 | 0.165 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Neighborhood | 0.594 | 0.582 | 0.247 | 51.442 | 0 | 24 | -4.582 | 59.164 | 177.32 | 49.37 | 810 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.866 | 0.038 | 316.186 | 0 |
| Condition.1Norm | 0.148 | 0.040 | 3.706 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Condition.1 | 0.016 | 0.015 | 0.379 | 13.737 | 0 | 2 | -373.241 | 752.483 | 766.662 | 119.512 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 12.012 | 0.015 | 827.428 | 0.000 |
| Bldg.TypeOther | -0.092 | 0.035 | -2.658 | 0.008 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Bldg.Type | 0.008 | 0.007 | 0.381 | 7.063 | 0.008 | 2 | -376.545 | 759.091 | 773.269 | 120.463 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.806 | 0.040 | 296.124 | 0.000 |
| House.StyleOther | 0.064 | 0.095 | 0.669 | 0.504 |
| House.Style1Story | 0.163 | 0.044 | 3.736 | 0.000 |
| House.Style2Story | 0.337 | 0.046 | 7.259 | 0.000 |
| House.StyleSFoyer | 0.033 | 0.076 | 0.431 | 0.667 |
| House.StyleSLvl | 0.175 | 0.072 | 2.446 | 0.015 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | House.Style | 0.079 | 0.074 | 0.368 | 14.236 | 0 | 6 | -345.681 | 705.363 | 738.446 | 111.869 | 828 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 12.124 | 0.028 | 432.466 | 0 |
| Roof.StyleGable | -0.164 | 0.032 | -5.169 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Roof.Style | 0.031 | 0.03 | 0.376 | 26.72 | 0 | 2 | -366.889 | 739.777 | 753.956 | 117.705 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.825 | 0.053 | 222.051 | 0.000 |
| Exterior.1stBrkFace | 0.209 | 0.082 | 2.551 | 0.011 |
| Exterior.1stCemntBd | 0.066 | 0.084 | 0.784 | 0.434 |
| Exterior.1stHdBoard | 0.119 | 0.061 | 1.964 | 0.050 |
| Exterior.1stMetalSd | 0.018 | 0.062 | 0.298 | 0.766 |
| Exterior.1stPlywood | 0.164 | 0.069 | 2.386 | 0.017 |
| Exterior.1stVinylSd | 0.377 | 0.058 | 6.552 | 0.000 |
| Exterior.1stWd Sdng | 0.038 | 0.062 | 0.614 | 0.539 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Exterior.1st | 0.152 | 0.144 | 0.353 | 21.091 | 0 | 8 | -311.496 | 640.992 | 683.528 | 103.064 | 826 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.864 | 0.038 | 309.005 | 0.000 |
| Exterior.2ndBrkFace | 0.167 | 0.088 | 1.894 | 0.059 |
| Exterior.2ndHdBoard | 0.082 | 0.049 | 1.674 | 0.094 |
| Exterior.2ndMetalSd | -0.017 | 0.049 | -0.353 | 0.724 |
| Exterior.2ndPlywood | 0.094 | 0.054 | 1.730 | 0.084 |
| Exterior.2ndVinylSd | 0.341 | 0.044 | 7.700 | 0.000 |
| Exterior.2ndWd Sdng | 0.013 | 0.050 | 0.266 | 0.790 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Exterior.2nd | 0.147 | 0.141 | 0.354 | 23.757 | 0 | 7 | -313.758 | 643.516 | 681.326 | 103.624 | 827 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 12.210 | 0.048 | 256.693 | 0.000 |
| Mas.Vnr.TypeBrkFace | -0.033 | 0.052 | -0.623 | 0.533 |
| Mas.Vnr.TypeNone | -0.330 | 0.050 | -6.588 | 0.000 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Mas.Vnr.Type | 0.149 | 0.147 | 0.353 | 72.615 | 0 | 3 | -312.904 | 633.809 | 652.714 | 103.413 | 831 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.650 | 0.031 | 369.903 | 0 |
| FoundationCBlock | 0.223 | 0.035 | 6.278 | 0 |
| FoundationPConc | 0.581 | 0.036 | 16.242 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Foundation | 0.308 | 0.306 | 0.318 | 184.911 | 0 | 3 | -226.559 | 461.118 | 480.023 | 84.071 | 831 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.997 | 0.013 | 902.257 | 0.000 |
| HeatingGasW | 0.091 | 0.145 | 0.629 | 0.530 |
| HeatingGrav | -0.519 | 0.382 | -1.360 | 0.174 |
| HeatingOthW | -0.285 | 0.382 | -0.746 | 0.456 |
| HeatingWall | -0.557 | 0.382 | -1.460 | 0.145 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Heating | 0.006 | 0.001 | 0.382 | 1.234 | 0.295 | 5 | -377.595 | 767.189 | 795.546 | 120.766 | 829 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.424 | 0.053 | 214.789 | 0 |
| Central.AirY | 0.605 | 0.055 | 11.064 | 0 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Central.Air | 0.128 | 0.127 | 0.357 | 122.413 | 0 | 2 | -322.831 | 651.662 | 665.841 | 105.904 | 832 |
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 11.921 | 0.077 | 155.157 | 0.000 |
| Garage.TypeAttchd | 0.200 | 0.078 | 2.565 | 0.010 |
| Garage.TypeBuiltIn | 0.433 | 0.091 | 4.766 | 0.000 |
| Garage.TypeDetchd | -0.177 | 0.080 | -2.223 | 0.026 |
| Garage.TypeNone | -0.457 | 0.094 | -4.883 | 0.000 |
| term | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | Garage.Type | 0.315 | 0.312 | 0.317 | 95.391 | 0 | 5 | -222.185 | 456.369 | 484.727 | 83.194 | 829 |
Predictor Association Analysis
| Label.1 | Variable.1 | Label.2 | Variable.2 | r |
|---|---|---|---|---|
| f1 | MS.SubClass | f7 | Bldg.Type | 0.9345 |
| f10 | Exterior.1st | f11 | Exterior.2nd | 0.8556 |
| f1 | MS.SubClass | f8 | House.Style | 0.8279 |
| f2 | MS.Zoning | f5 | Neighborhood | 0.8157 |
| f5 | Neighborhood | f13 | Foundation | 0.6502 |
| f5 | Neighborhood | f7 | Bldg.Type | 0.6201 |
| f1 | MS.SubClass | f2 | MS.Zoning | 0.5743 |
| f1 | MS.SubClass | f13 | Foundation | 0.5047 |
Multivariate Analysis
Summary
Relative Importance
Correlation of Features
| Variable.1 | Variable.2 | r |
|---|---|---|
| age.log | age.garage.log | 0.9245 |
| Fireplace.Qu | Fireplaces | 0.8558 |
| area.log | TotRms.AbvGrd.log | 0.7932 |
| Overall.Qual | Exter.Qual | 0.7048 |
| Bsmt.Qual | Total.Bsmt.SF.log | 0.7017 |
| Kitchen.Qual | Exter.Qual | 0.7009 |
| Garage.Cars | Garage.Area.log | 0.6891 |
| area.log | Full.Bath | 0.6653 |
| age.log | age.remod.log | 0.6622 |
| age.garage.log | age.remod.log | 0.6435 |
| Overall.Qual | Kitchen.Qual | 0.6433 |
| Overall.Qual | Bsmt.Qual | 0.6067 |
| Overall.Qual | area.log | 0.5931 |
| Overall.Qual | Garage.Cars | 0.5790 |
| Full.Bath | TotRms.AbvGrd.log | 0.5412 |
| Overall.Qual | Full.Bath | 0.5348 |
| area.log | X1st.Flr.SF.log | 0.5288 |
| area.log | Fireplace.Qu | 0.5285 |
| area.log | Garage.Cars | 0.5190 |
| Exter.Qual | Bsmt.Qual | 0.5133 |
| area.log | Fireplaces | 0.5024 |
Association of Top Features
| Variable.1 | Variable.2 | r |
|---|---|---|
| Neighborhood | Foundation | 0.6502 |
| MS.SubClass | Foundation | 0.5047 |